Problem 16.1-2:Activity Time ImmediateActivity (weeks) Predecessor(s) A 3 none B 4 A C 2 B D 5 B E 4 C F 3 D G 2 E, FA-B-C-E-G 15 weeksA-B-D-F-G 17 weeks2. a. completion time for the project is 17 weeks2. b. critical path: A-B-D-F-GProblem 16.4-8:ActivityImmediatePredecessor(s)OptimisticTime(weeks)Most LikelyTime(weeks)PessimisticTime(weeks)ExpectedTime(weeks) VarianceA None 3 6 9 6.00 1.00B A 3 5 7 5.00 0.44C A 4 7 12 7.33 1.78D B 4 8 10 7.67 1.00E C 5 10 16 10.17 3.36F D, E 3 4 5 4.00 0.11G D, E 3 6 8 5.83 0.69H F 4 6 10 6.33 1.00I G 5 8 11 8.00 1.00J H, I 3 3 3 3.00 0.00PathExpectedCompletionTime Variance38 weekz-value38 weekprobability42 weekz-value42 weekprobabilityABDFHJ 32.00 3.56 3.17 0.99+ 5.29 0.99+ABDGIJ 35.50 4.13 1.23 0.89 3.20 0.99+ACEFHJ 36.83 7.58 0.42 0.66 1.88 0.97ACEGIJ* 40.33** 7.83 -0.83 0.20 0.60*** 0.73***** Critical path is A-C-E-G-I-J.** Expected project completion time 40.33 weeks.*** Probability of completing project in 38 weeks or less is .20 or 20%.**** Probability of completing project in 42 weeks or less is 0.73 or 73%.Problem 16.9-10:ActivityNormalTime(weeks)NormalCost($)CrashTime(weeks)CrashCost($)MaximumWeeksReducedCrash Costper Week($)A 4 800 3 1,200 1 400B 3 900 2 1,000 1 100C 5 1,250 3 2,250 2 500D 2 800 2 800 0 0E 5 1,500 4 2,000 1 500F 6 2,000 5 3,000 1 1,000G 4 600 3 900 1 300H 3 900 3 900 0 0A-B-E-G-H 19 weeksA-C-E-G-H 21 weeksA-C-F-G-H 22 weeks critical pathA-D-F-G-H 19 weeksCrashing:1. Consider A, C, F, and G; reduce G by 1 week at a cost of $300.ABEGH: 18 weeks. ACEGH: 20 weeks; ACFGH: 21 weeks; ADFGH: 18 weeks.2. Consider A, C, and F; reduce A by 1 week at a cost of $400. ABEGH: 17 weeks. ACEGH: 19 weeks; ACFGH: 20 weeks; ADFGH: 17 weeks.3. Consider C and F; reduce C by 1 week at a cost of $500.ABEGH: 17 weeks. ACEGH: 19 weeks; ACFGH: 19 weeks; ADFGH: 18 weeks.Thus, crashing activities G, A, and C reduces the project completion time by 3 weeks (22 weeks down to 19 weeks) at a cost of
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